Based on the work of D. Happel, I. Reiten and S. Smalø on quasitilted artin algebras, the first two authors recently introduced the notion of quasitilted rings. Various authors have presented examples of quasitilted artin algebras that are not tilted. Here we present a class of right quasitilted rings that not right tilted, and we show that they satisfy a condition that would force a quasitilted artin algebra to be tilted.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-10,
author = {Riccardo Colpi and Kent R. Fuller and Enrico Gregorio},
title = {A class of quasitilted rings that are not tilted},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {151-156},
zbl = {1085.16005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-10}
}
Riccardo Colpi; Kent R. Fuller; Enrico Gregorio. A class of quasitilted rings that are not tilted. Colloquium Mathematicae, Tome 106 (2006) pp. 151-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-10/